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Finding the Fourth Proportional to 354,382.08, 489,049.56 and 211,148.16

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Solution

The fourth proportional to 354,382.08, 489,049.56 and 211,148.16 is: 291,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,382.08 : 489,049.56 = 211,148.16 : x
  2. Step 2: Convert to fraction form
    354,382.08/489,049.56 = 211,148.16/x
  3. Step 3: Cross multiply
    354,382.08x = 489,049.56 × 211,148.16
  4. Step 4: Simplify right side
    354,382.08x = 103,261,914,742.81
  5. Step 5: Solve for x
    x = 103,261,914,742.81/354,382.08
  6. Step 6: Final answer
    x = 291,385.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.